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Finding the Fourth Proportional to 198,024.76, 297,114.90 and 87,139

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Solution

The fourth proportional to 198,024.76, 297,114.90 and 87,139 is: 130,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,024.76 : 297,114.90 = 87,139 : x
  2. Step 2: Convert to fraction form
    198,024.76/297,114.90 = 87,139/x
  3. Step 3: Cross multiply
    198,024.76x = 297,114.90 × 87,139
  4. Step 4: Simplify right side
    198,024.76x = 25,890,295,271.10
  5. Step 5: Solve for x
    x = 25,890,295,271.10/198,024.76
  6. Step 6: Final answer
    x = 130,742.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.